A sprinter runs two races on a certain day. The probability that he wins the first is 0.6, the probability he wins the second is 0.5, and hte probability that he loses both races is 0.3. What is the probability that he wins both races? A) 0.2 B) 0.3 C) 0.4 D) 0.5 Provide thorough explanations.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 36E
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A sprinter runs two races on a certain day. The probability that he wins the first is 0.6, the probability he wins the second is 0.5, and hte probability that he loses both races is 0.3. What is the probability that he wins both races?

A) 0.2

B) 0.3

C) 0.4

D) 0.5

Provide thorough explanations.

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